| 摘要: |
| 针对区间二元语义评价信息的不确定性，考虑区间二元语义变量取值的分布情况，定义了二元语义联系变量、二元语义正态分布变量，研究了它们的运算法则，并提出了二元语义联系变量信息集结算子；针对决策矩阵元素为区间二元语义变量属性权重完全未知的模糊多属性群决策问题，利用二元语义正态分布变量的方差，通过构建优化模型确定最优属性权重，提出了基于二元语义联系变量信息集成算子的模糊多属性决策方法，最后通过实例分析了方法的可行性和有效性. |
| 关键词: 多属性群决策 区间二元语义变量 二元语义联系变量 二元语义正态分布变量 信息集成算子 |
| DOI： |
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| Interval 2 tuple Linguistic Fuzzy Multiple Attributes Group Decision making Based on Connection Variables |
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WU Qun1, WU Peng1, ZHOU Li gang1,2
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| Abstract: |
| According to the uncertainty of interval 2 tuple linguistic evaluation information, by considering the distribution of interval 2 tuple linguistic variables, the 2 tuple linguistic connection variables and the 2 tuple linguistic normal distribution variables are defined. Their operation laws are studied, and the information aggregation operators of 2 tuple linguistic connection variables are presented. Based on fuzzy multiple attribute group decision making problem with completely unknown weight of interval 2 tuple linguistic variable attributes of decision making matrix elements, by using the 2 tuple linguistic variable variance of normal distribution, by constructing optimization model to determine optimal attribute weight, the fuzzy multiple attributes group decision making method is proposed based on 2 tuple linguistic connection variable information, and finally numerical example is used to analyze the feasibility and validity of this method. |
| Key words: multiple attribute group decision making interval 2 tuple linguistic variable 2 tuple linguistic connection variable 2 tuple linguistic normal distribution variable information aggregation operator |
